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Finding the Fourth Proportional to 6,302.40, 9,454.20 and 1,919.40

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Solution

The fourth proportional to 6,302.40, 9,454.20 and 1,919.40 is: 2,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.40 : 9,454.20 = 1,919.40 : x
  2. Step 2: Convert to fraction form
    6,302.40/9,454.20 = 1,919.40/x
  3. Step 3: Cross multiply
    6,302.40x = 9,454.20 × 1,919.40
  4. Step 4: Simplify right side
    6,302.40x = 18,146,391.48
  5. Step 5: Solve for x
    x = 18,146,391.48/6,302.40
  6. Step 6: Final answer
    x = 2,879.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.